Quote Originally Posted by ixtapalapaquetl View Post
To a certain extent, I agree with you (although my definition of a guillotine cut is exactly in line with the wiki). Regarding scything and slicing, they are used rather differently around the forum. Slicing is particularly poorly defined. I came to the definition above to provide a more useful, concrete description. Regarding scything, I have seen it used in the forum as I have defined it and also as the wiki defines it (involving a pivoting motion). I agree that the above definition differs from the wiki.

However, I had no preconceived notions when I started exploring this topic, and certainly didn't intentionally alter definitions to support them. I'm a math guy. I was making diagrams and doing some trig because it's fun. The conclusions came directly from the math. The definitions were made to make the math possible.

Finally, regarding the wiki defined scything, the math is somewhat different than this problem. I will work on that soon - probably will use polar coordinates/functions.
So, I guess my conclusion has been wrong all this time...










...shaving really is rocket science.